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Leona [35]
3 years ago
7

Complete the coordinate proof of the theorem.

Mathematics
2 answers:
Flauer [41]3 years ago
8 0

Answer:


Step-by-step explanation:

THESE ARE THE CORRECT ANSWERS

mojhsa [17]3 years ago
3 0
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)

the length of AC can be calculated with the theorem of Pythagoras:

length AB = a - 0 = a
length BC = b - 0 = b

seeing as the length of AC is the longest, it can be calculated by the following formula:

It is called "Pythagoras' Theorem" and can be written in one short equation:

a^2 + b^2 = c^2 (^ means to the power of by the way)

in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:

a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)

Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!


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When you divide a whole number by fraction with a numerator of one explain how you can find the quotient
MariettaO [177]
In this item, we are asked for the methodology to arriving the answer when the whole number is divided by a fraction with 1 as a numerator. If example we have the whole number as 4 and the fraction with 1 as numerator is 1/2, the division would become, 4/(1/2). We multiply the whole number by the reciprocal of the given fraction which then becomes, 4(2/1). The final answer would be 12.

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6 0
4 years ago
I also need to know what m∠cdb is
Oliga [24]

Answer:

x = 4

m<cdb = 82

Step-by-step explanation:

The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:

7x + 2 + 17x = 98

24x + 2 = 98

24x = 96

x = 4

m<cdb =

y + 98 = 180

y = 180 - 98

y = 82

3 0
2 years ago
Your school football team has 10 scheduled games for the season. You want to attend at least 4 games. How many different combina
viva [34]

24 combinations i believe

8 0
3 years ago
Which of the following would best represent a cosine function with an amplitude of 2, a period of pi over 3, and a midline at y
OleMash [197]
C. f(x) = – 2 cos 6x + 1

Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).

Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.

Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
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3 years ago
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Greg has decreased his running time by 1/10 minute each of the last six weeks. Write an expression to represent the total change
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3 years ago
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